Answer:
33
Step-by-step explanation:
The two angles add up to 180 degrees because a straight line is 180 degrees
<em>Add both equations and set equal to 180</em>
3m + 138 + 7m +12 = 180
<em>Algebra yeet</em>
<em>Simplify</em>
10m +150 = 180
10m = 30
m = 3
Angle DBC is (7m + 12):
<em>Substitute m = 3</em>
7(3) + 12 = 21 + 12 = 33 degrees
Answer:
As Perimeter of rectangle =2(l+b)
Let original length & bredth of rectangle be L & B
⇒ 2(L−5+B−5)=26
⇒ 2(L+B−10)=26
⇒ 2(L+B)=46
⇒ L+B=23
Answer:
-10
Step-by-step explanation:
9^-8 x 9^-2 = a^b
We know that x^y * x^z = x^(y+z)
9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)
a= 9
b = -10
Answer:Stan used 19/40 of a gallon of gasoline.
Step-by-step explanation:
At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank. It means that the number of gallons of gasoline that he has already put in the tank is
1/8 + 6/10 = 29/40 of a gallon.
After he mowed, 1/4 of a gallon was left in the tank. Therefore, the total amount of gasoline Stan used is
29/40 - 1/4 = 19/40 of a gallon